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149510772 = 223419149163
BaseRepresentation
bin10001110100101…
…01101001110100
3101102022221020000
420322111221310
5301233321042
622500311300
73463551315
oct1072255164
9342287200
10149510772
1177438724
12420a2530
1324c8a318
1415bdc60c
15d1d474c
hex8e95a74

149510772 has 120 divisors (see below), whose sum is σ = 416724000. Its totient is φ = 46609344.

The previous prime is 149510761. The next prime is 149510797. The reversal of 149510772 is 277015941.

It is a happy number.

149510772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 917163 + ... + 917325.

It is an arithmetic number, because the mean of its divisors is an integer number (3472700).

Almost surely, 2149510772 is an apocalyptic number.

149510772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149510772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208362000).

149510772 is an abundant number, since it is smaller than the sum of its proper divisors (267213228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149510772 is a wasteful number, since it uses less digits than its factorization.

149510772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 149510772 is about 12227.4597525406. The cubic root of 149510772 is about 530.7510084190.

The spelling of 149510772 in words is "one hundred forty-nine million, five hundred ten thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 149 162 163 171 228 298 324 326 342 447 489 513 596 652 684 894 978 1026 1341 1467 1539 1788 1956 2052 2682 2831 2934 3078 3097 4023 4401 5364 5662 5868 6156 6194 8046 8493 8802 9291 11324 12069 12388 13203 16092 16986 17604 18582 24138 24287 25479 26406 27873 33972 37164 48276 48574 50958 52812 55746 72861 76437 83619 97148 101916 111492 145722 152874 167238 218583 229311 250857 291444 305748 334476 437166 458622 461453 501714 655749 874332 917244 922906 1003428 1311498 1384359 1845812 1967247 2622996 2768718 3934494 4153077 5537436 7868988 8306154 12459231 16612308 24918462 37377693 49836924 74755386 149510772